There is a series of R Rings called the Valor Rings, which on top of their stat bonuses add an extra visual effect when you wear them.
I suggest that these effects be togglable. The most obvious method would be to enable "stealth" on Rings the same way as on Units.
Presumably this was overlooked by the developers because so few rings - possibly only these specific ones - even have visual effects. But the rest of the game's design consistently allows players to hide accessories that clash with their look, so I don't see why this should be any different.
Pictured: The yellow glow is the Hero version. Each class has different colors.